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Angle A and angle B are supplementary. If the measure of angle B is one-third the measure of angle A, what is the measure of angle B?
E. 22.5°
F. 45°
G. 67.5°
H. 135°

Sagot :

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Answer:

vertically opposite angles

Step-by-step explanation:

supplementaries angles

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The measure of angle B is 45° since option F. is correct in the given question.

What do we mean by supplementary angles?

Any two angles (say X & Y), are said to be supplementary when their summation (X + Y) is equal to 180°.

How to determine Angle B?

Angle A and Angle B are supplementary, which implies A+B=180°.

Angle B is one-third angle A, which implies

[tex]B=\frac{1}{3} A[/tex]

or, 3B = A

Using the value of A in the previous equation, we get 3B + B = 180°.

4B = 180°

or, B = 45°.

Thus, the measure of angle B is 45°. The correct answer is option F.

Learn more about supplementary angles on

https://brainly.com/question/404323

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